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| The temperament was named by [[User:Xenllium|Xenllium]] in 2021. ''Cotoneum'' is Latin for "quince". | | The temperament was named by [[User:Xenllium|Xenllium]] in 2021. ''Cotoneum'' is Latin for "quince". |
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| == Temperament data ==
| | For technical data, see [[Garischismic clan #Cotoneum]]. |
| {{Main| Garischismic clan #Cotoneum }}
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| <div class="toccolours mw-collapsible mw-collapsed" style="width:600px; overflow:auto;">
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| <div style="line-height:1.6;">'''Cotoneum temperament (41&176)'''</div>
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| <div class="mw-collapsible-content">
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| Subgroup: 2.3.5.7.11.13.17.19
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| [[Comma list]]: 343/342, 364/363, 441/440, 595/594, 1216/1215, 1729/1728
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| [[Mapping]]: [{{val| 1 2 -18 -3 13 29 41 -14 }}, {{val| 0 -1 49 14 -23 -61 -89 44 }}]
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| [[POTE generator]]:
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| * 7-limit: ~4/3 = 497.68302
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| * 11-limit: ~4/3 = 497.69730
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| * 13-limit: ~4/3 = 497.69399
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| * 17-limit: ~4/3 = 497.69334
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| * 19-limit: ~4/3 = 497.69225
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| [[TOP tuning|TOP generator]]s:
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| * 7-limit: ~2 = 1200.03878, ~4/3 = 497.69910
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| * 11-limit: ~2 = 1199.86324, ~4/3 = 497.64058
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| * 13-limit: ~2 = 1199.89014, ~4/3 = 497.64843
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| * 17-limit: ~2 = 1199.89426, ~4/3 = 497.64949
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| * 19-limit: ~2 = 1199.87700, ~4/3 = 497.64124
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| [[Diamond monotone]] ranges:
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| * 7-odd-limit: ~4/3 = [497.14286, 498.46154] (29\70 to 27\65)
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| * 9-odd-limit: ~4/3 = [497.14286, 498.11321] (29\70 to 22\53)
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| * 11-odd-limit: ~4/3 = [497.56098, 497.87234] (17\41 to 39\94)
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| * 13 and 15-odd-limit: ~4/3 = [497.56098, 497.77778] (17\41 to 56\135)
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| * 17, 19, and 21-odd-limit: ~4/3 = [497.56098, 497.72727] (17\41 to 73\176)
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| [[Diamond tradeoff]] ranges:
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| * 7, 9, 11, and 13-odd-limit: ~4/3 = [497.64251, 498.04500]
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| * 15 and 17-odd-limit: ~4/3 = [497.63067, 498.04500]
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| * 19 and 21-odd-limit: ~4/3 = [497.62290, 498.04500]
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| Diamond monotone and tradeoff ranges:
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| * 7 and 9-odd-limit: ~4/3 = [497.64251, 498.04500]
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| * 11-odd-limit: ~4/3 = [497.64251, 497.87234]
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| * 13-odd-limit: ~4/3 = [497.64251, 497.77778]
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| * 15-odd-limit: ~4/3 = [497.63067, 497.77778]
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| * 17-odd-limit: ~4/3 = [497.63067, 497.72727]
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| * 19 and 21-odd-limit: ~4/3 = [497.62290, 497.72727]
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| [[Optimal ET sequence]]s:
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| * 7-limit: {{Optimal ET sequence| 41, 176, 217, 258, 475 }}
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| * 11, 13, 17, and 19-limit: {{Optimal ET sequence| 41, 176, 217 }}
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| [[Badness]]:
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| * 7-limit: 0.105632
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| * 11-limit: 0.050966
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| * 13-limit: 0.036951
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| * 17-limit: 0.029495
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| * 19-limit: 0.021811
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| </div></div>
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| == Interval chain == | | == Interval chain == |